己知两个不同的实数a和b分别满足a²-3a+2=O,b²-3b+2=0则b/a十a/b的值是
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![己知两个不同的实数a和b分别满足a²-3a+2=O,b²-3b+2=0则b/a十a/b的值是](/uploads/image/z/1562299-43-9.jpg?t=%E5%B7%B1%E7%9F%A5%E4%B8%A4%E4%B8%AA%E4%B8%8D%E5%90%8C%E7%9A%84%E5%AE%9E%E6%95%B0a%E5%92%8Cb%E5%88%86%E5%88%AB%E6%BB%A1%E8%B6%B3a%26%23178%3B-3a%2B2%3DO%2Cb%26%23178%3B-3b%2B2%3D0%E5%88%99b%2Fa%E5%8D%81a%2Fb%E7%9A%84%E5%80%BC%E6%98%AF)
己知两个不同的实数a和b分别满足a²-3a+2=O,b²-3b+2=0则b/a十a/b的值是
己知两个不同的实数a和b分别满足a²-3a+2=O,b²-3b+2=0则b/a十a/b的值是
己知两个不同的实数a和b分别满足a²-3a+2=O,b²-3b+2=0则b/a十a/b的值是
a、b是方程x^2-3x+2=0的两个不等的实根
a+b=3 ab=2
b/a+a/b
=(b^2+a^2)/(ab)
=[(a+b)^2-2ab]/(ab)
=(a+b)^2/(ab)-2
=3^2/2-2
=9/2-2
=5/2